Finding the Third Proportional to 91,767 and 141,822

Step by Step Solution

1. Step 1: Write the proportion equation
   91,767 : 141,822 = 141,822 : x
2. Step 2: Convert to fraction form
   91,767/141,822 = 141,822/x
3. Step 3: Cross multiply
   91,767x = 141,822 × 141,822
4. Step 4: Simplify right side
   91,767x = 20,113,479,684
5. Step 5: Solve for x
   x = 20,113,479,684/91,767
6. Step 6: Final answer
   x = 219,179.88